Introduce shared setting specifications for Advanced settings

test/e2e-obsidian/README.md

@@ -106,7 +106,7 @@ The underlying `test:e2e:obsidian:<scenario>` scripts remain available for an im
 
 `test:e2e:obsidian:dialog-mounts` starts a temporary real Obsidian session and exercises remote selection and CouchDB settings through `SetupManager`, plus Setup URI entry through the registered command. It verifies the compatibility pause and remote-size review, the distinction between a central data-storage server and P2P signalling, the explicit tested and untested CouchDB save actions, the internal-API warning, the Setup URI controls, automatic adjustment when differences are limited to compatible chunk settings, and both manual configuration-mismatch routes. The same session opens the live log and generated full report, reaches the `Hatch` recovery controls, writes and removes its own persistent log, and runs the missing-chunk recreation and file-verification actions against the empty disposable Vault. It captures representative desktop and mobile dialogues, checks the mobile layout and vertically stacked actions, closes each route through its normal controls, and verifies that each mounted operation settles without an error. It does not apply a remote configuration, contact a remote service, or claim to repair a deliberately damaged database.
 
-`test:e2e:obsidian:settings-ui` starts with a pending compatibility review and verifies the dedicated pause summary, its detailed explanation, and the explicit resume action in a temporary real Obsidian session. It captures the desktop summary and the iPhone-sized summary and detail dialogues; the mobile checks cover viewport containment, horizontal overflow, safe-area containment, and the close control's touch target. It confirms that the acknowledged internal version advances only after the review is accepted, and checks that the Change Log contains no acknowledgement control. It then selects the Synchronisation Settings pane and verifies that the deletion panel still exposes the effective 'Keep empty folder' setting without presenting the legacy `trashInsteadDelete` control, whose value no longer changes Obsidian deletion behaviour.
+`test:e2e:obsidian:settings-ui` starts with a pending compatibility review and verifies the dedicated pause summary, its detailed explanation, and the explicit resume action in a temporary real Obsidian session. It captures the desktop summary and the iPhone-sized summary and detail dialogues; the mobile checks cover viewport containment, horizontal overflow, safe-area containment, and the close control's touch target. It confirms that the acknowledged internal version advances only after the review is accepted, and checks that the Change Log contains no acknowledgement control. It then enables Advanced mode and persists one numeric Advanced setting, covering the imperative settings fallback used by the `SettingSpec` proof. Finally, it selects the Synchronisation Settings pane and verifies that the deletion panel still exposes the effective 'Keep empty folder' setting without presenting the legacy `trashInsteadDelete` control, whose value no longer changes Obsidian deletion behaviour.
 
 The mobile pass uses Obsidian's `app.emulateMobile(true)`, a 390 by 844 CSS-pixel viewport, and explicit iPhone-style safe-area insets of 47 pixels at the top and 34 pixels at the bottom. The public `@vrtmrz/obsidian-test-session` layout assertions require each modal to remain within the viewport and safe area without horizontal overflow. They also require the Obsidian Close control to remain within the safe area and provide at least a 44 by 44 CSS-pixel touch target. The runner clicks that control to verify actionability, then completes the explicit cancellation path. These simulated checks cover deterministic layout and interaction boundaries; they do not claim to reproduce a native operating-system overlay.
 

test/e2e-obsidian/scripts/settings-ui.ts

@@ -25,6 +25,7 @@ type LiveSyncTestPlugin = {
                     useAdvancedMode: boolean;
                     usePowerUserMode: boolean;
                     useEdgeCaseMode: boolean;
+                    hashCacheMaxCount: number;
                 };
                 getSmallConfig(key: string): string | null;
             };
@@ -294,6 +295,22 @@ async function verifyEffectiveSettings(): Promise<void> {
             undefined,
             { timeout: uiTimeoutMs }
         );
+
+        await liveSyncSettings.locator('.sls-setting-menu-btn[title="Advanced"]').click();
+        const cacheSizeSetting = liveSyncSettings.locator(".setting-item").filter({
+            has: page.getByText("Memory cache size (by total items)", { exact: true }),
+        });
+        await cacheSizeSetting.waitFor({ state: "visible", timeout: uiTimeoutMs });
+        await cacheSizeSetting.locator('input[type="number"]').fill("321");
+        await page.waitForFunction(
+            () => {
+                const plugin = (globalThis as ObsidianTestGlobal).app?.plugins?.plugins["obsidian-livesync"];
+                return plugin?.core.services.setting.currentSettings().hashCacheMaxCount === 321;
+            },
+            undefined,
+            { timeout: uiTimeoutMs }
+        );
+
         await liveSyncSettings.locator('.sls-setting-menu-btn[title="Sync Settings"]').click();
 
         const deletionPanel = liveSyncSettings